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Quantum Physics

Title: Integrable time-dependent quantum Hamiltonians

Abstract: We formulate a set of conditions under which dynamics of a time-dependent quantum Hamiltonian are integrable. The main requirement is the existence of a nonabelian gauge field with zero curvature in the space of system parameters. Known solvable multistate Landau-Zener models satisfy these conditions. Our method provides a strategy to incorporate time-dependence into various quantum integrable models, so that the resulting non-stationary Schrodinger equation is exactly solvable. We also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model.
Comments: 9 pages, 4 figures
Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph)
Cite as: arXiv:1711.09945 [quant-ph]
  (or arXiv:1711.09945v1 [quant-ph] for this version)

Submission history

From: Nikolai Sinitsyn [view email]
[v1] Mon, 27 Nov 2017 19:31:58 GMT (499kb,D)